Rheological properties of granular suspensions at moderate densities

Abstract eng:
Non-Newtonian transport properties of a granular suspension under uniform shear flow are studied. The suspended particles are modeled as a fluid of smooth hard spheres with inelastic collisions and the interstitial gas is modeled with a volume drag force. The suspension model is based on the Enskog kinetic equation and hence, our results apply for moderate densities. The model is solved by means of two complementary routes: Grads moment method (analytical) and Monte Carlo simulations of the Enskog equation (computational). Unlike in previous works on granular dense suspensions, Grad’s solution includes nonlinear terms in the kinetic stress tensor in the evaluation of the momentum transfer from the Enskog collision operator. This allows us to calculate the (nonzero) normal stress differences in the plane normal to the laminar flow. Comparison between theoretical and numerical results shows in general good agreement even for conditions of strong inelasticity and/or moderate densities.

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